Search a number
-
+
22131030020 = 225114113731787
BaseRepresentation
bin10100100111000111…
…001011100000000100
32010010100102210212112
4110213013023200010
5330311020430040
614100012440152
71412266436261
oct244707134004
963110383775
1022131030020
119427431460
124357779058
13211903b548
1410dd32c268
15897db2365
hex5271cb804

22131030020 has 96 divisors (see below), whose sum is σ = 52003679616. Its totient is φ = 7841254400.

The previous prime is 22131029993. The next prime is 22131030109. The reversal of 22131030020 is 2003013122.

It is a happy number.

It is a super-2 number, since 2×221310300202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22131029977 and 22131030004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12383567 + ... + 12385353.

It is an arithmetic number, because the mean of its divisors is an integer number (541704996).

Almost surely, 222131030020 is an apocalyptic number.

22131030020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26001839808).

22131030020 is an abundant number, since it is smaller than the sum of its proper divisors (29872649596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22131030020 is a wasteful number, since it uses less digits than its factorization.

22131030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22131030020 its reverse (2003013122), we get a palindrome (24134043142).

The spelling of 22131030020 in words is "twenty-two billion, one hundred thirty-one million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1373 1787 1804 2255 2746 3574 4510 5492 6865 7148 8935 9020 13730 15103 17870 19657 27460 30206 35740 39314 56293 60412 73267 75515 78628 98285 112586 146534 151030 196570 225172 281465 293068 302060 366335 393140 562930 619223 732670 805937 1125860 1238446 1465340 1611874 2453551 2476892 3096115 3223748 4029685 4907102 6192230 8059370 9814204 12267755 12384460 16118740 24535510 26989061 49071020 53978122 100595591 107956244 134945305 201191182 269890610 402382364 502977955 539781220 1005955910 1106551501 2011911820 2213103002 4426206004 5532757505 11065515010 22131030020